Atkin-Lehner |
2+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
15664a |
Isogeny class |
Conductor |
15664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
333580544 = 28 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 4 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,510] |
[a1,a2,a3,a4,a6] |
j |
3010120272/1303049 |
j-invariant |
L |
1.5425284128027 |
L(r)(E,1)/r! |
Ω |
1.5425284128027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7832c1 62656s1 |
Quadratic twists by: -4 8 |